Question
In: Statistics and Probability
The table to the below contains observed values and expected values in parentheses for two categorical...
The table to the below contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below.
|
X1 |
X2 |
X3 |
|
|
Y1 |
34 |
40 |
55 |
|
36.86 |
43.24 |
48.91 |
|
|
Y2 |
18 |
21 |
14 |
|
15.14 |
17.76 |
20.09 |
(a) Compute the value of the chi-square test statistic. (Round to three decimal places as needed.)
X 2/0=
(b) Test the hypothesis that X and Y are independent at the alpha equals 0.01 level of significance.
H0: mu x = Ex and mu y = Ey; H1: mu x does not = Ex or mu y does not = Ey
H0: Y category and X category are independent; H1: The Y category and X category are dependent.
H0: Y category and X category are dependent; H1: The Y category and X category are independent.
H0: Y category and X category have equal proportions; H1: The proportions are not equal.
(c) What range of P-values does the test statistic correspond to? The P-value is ?
(d) Should the null hypothesis be rejected?
Solutions
orchestra answered 1 year agoRelated Solutions
The table to the right contains observed values and expected values in parentheses for two categorical...
The table to the right contains observed values and expected
values in parentheses for two categorical variables, X and Y,
where variable X has three categories and variable Y has two
categories. Use the table to answer the question below. Complete
parts (a) and (b) below.
X1
X2
X3
Y1
69 (69.845)
61 (50.725
69 (78.429
Y2
110 (109.155)
69 (79.275)
132 (122.571)
(a) Compute the value of the chi-square test statistic
(b)Test the hypothesis that X and Y are...
3) [4] Below are the observed and expected (in parentheses) frequencies for athletic injuries for those...
3) [4] Below are the observed and expected (in parentheses)
frequencies for athletic injuries for those athletes who properly
stretched versus those who did not. Assuming a ? 2 Test for
Independence test is being conducted, at ? = 0.05, are athletic
injuries independent of stretching? Only list steps 3-7 of the
hypothesis test.
Stretched
Not stretched
Totals
Injury
18 (20.8)
22 (19.2)
40
No Injury
211 (208.2)
189 (191.8)
400
Totals
229
211
440
INFERENCE ON CATEGORICAL DATA For the given table of observed frequencies: 1 2 3 A 15...
INFERENCE ON CATEGORICAL DATA
For the given table of observed frequencies:
1
2
3
A
15
10
12
B
3
11
11
C
9
14
12
Compute the value of the chi-square statistics.
If appropriate, perform a test of independence, using the
α=0.05 level of significance.
The table below contains distance and recessional velocity data for ten galaxies. Galaxy Distance (Mpc) Observed...
The table below contains distance and recessional velocity data
for ten galaxies.
Galaxy
Distance (Mpc)
Observed Velocity (km/s)
1
42.0
2546.0
2
92.3
5964.9
3
92.7
5490.1
4
92.9
6652.7
5
93.1
5115.3
6
150.0
9800.0
7
320.0
20260.0
8
450.0
28150.0
9
553.0
34889.0
10
642.0
40536.0
a) Plot the ‘Hubble Diagram’ for these galaxies. This is simply
a plot of the observed velocity on the y-axis and the distance on
the x-axis.
b) Fit a line to the...
The table below contains data on Fincorp Inc. The balance sheet items correspond to values at...
The table below contains data on Fincorp Inc. The balance sheet
items correspond to values at year-end 2015 and 2016, while the
income statement items correspond to revenues or expenses during
the year ending in either 2015 or 2016. All values are in thousands
of dollars.
2015
2016
Revenue
$
4,000
$
4,100
Cost of goods sold
1,600
1,700
Depreciation
500
520
Inventories
300
350
Administrative expenses
500
550
Interest expense
150
150
Federal and state taxes*
400
420
Accounts...
find the values missing from the table below, and then create two (2) graphs for an...
find the values missing from the table below, and then create
two (2) graphs for an individual price-taking firm that produces
t-shirts, utilizing both the Marginal Revenue/Marginal Cost
approach and the Total Revenue/Total Cost approach.
The graphs should depict the effect of a change in consumer
demographics that increases demand for hairnets and increases the
market price to $24.
1. Create a graph (Graph 1) showing the
starting conditions using the Marginal Revenue/Marginal Cost
approach; correctly label all axes, curves,...
find the values missing from the table below, and then create two (2) graphs for an...
find the values missing from the table below, and then create
two (2) graphs for an individual price-taking firm that produces
t-shirts, utilizing both the Marginal Revenue/Marginal Cost
approach and the Total Revenue/Total Cost approach.
The graphs should depict the effect of a change in consumer
demographics that increases demand for hairnets and increases the
market price to $24.
1. Create a graph (Graph 1) showing the
starting conditions using the Marginal Revenue/Marginal Cost
approach; correctly label all axes, curves,...
The table below contains a list of species and their abundances for two grassland communities around...
The table below contains a list of species and their abundances
for two grassland communities around Serengeti National Park,
Tanzania. Use the below data to answer the following question.
Community A: Wildlife-Grazed Grassland
Number of individuals per m2
Sporobolus ioclados
45
Themeda triandra
22
Dactyloctenium aegyptium
11
Cynodon plectostachyus
17
Harpachne schimperi
5
Community B: Livestock-Grazed Grassland
Panicum coloratum
68
Themeda triandra
17
Cynodon dactylon
2
Pennisetum mezianum
10
Eragrostis tenuifolia
3
Using the Shannon diversity index, what is pi...
The values of y and their corresponding values of y are shown in the table below...
The values of y and their corresponding values of y are shown in
the table below
x
2
3
4
4
6
y
2
3
5
4
6
A) Calculate the coefficient of correlation;
B) Calculate the coefficient of determination;
C) Obtain the regression coefficients and write the regression
expression;
D) Provide your prediction of the dependent variable if the
value of the independent variable is 4.
a) The categories of a categorical variable are given along with the observed counts from a...
a) The categories of a categorical variable are given along with
the observed counts from a sample. The expected counts from a null
hypothesis are given in parentheses. Compute the χ2-test statistic,
and use the χ2-distribution to find the p-value of the
test.
Category
A
B
C
D
Observed
(Expected)
80(70)
130(140)
195(210)
295(280)
Round your answer for the chi-square statistic to two decimal
places, and your answer for the p-value to four decimal
places.
chi-square statistic = ____________________...
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